13935920225280 has 352 divisors, whose sum is σ = 44984318098176. Its totient is φ = 3682071085056.

The previous prime is 13935920225197. The next prime is 13935920225327. The reversal of 13935920225280 is 8252202953931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151056987 + ... + 1151069093.

Almost surely, 2^{13935920225280} is an apocalyptic number.

13935920225280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13935920225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492159049088).

13935920225280 is an abundant number, since it is smaller than the sum of its proper divisors (31048397872896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13935920225280 is a wasteful number, since it uses less digits than its factorization.

13935920225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 13935920225280 in words is "thirteen trillion, nine hundred thirty-five billion, nine hundred twenty million, two hundred twenty-five thousand, two hundred eighty".